Chris had a piece of rope that was 15 inches long. He wanted to cut the rope into pieces that were each 3/5 of an inch long. How
2 answers:
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Right now, the ratio of nonfiction to fiction is 9:18. If this is reduced, it is a ratio of 1:2, so there needs to be twice as many fiction books as nonfiction.
If we add 6 fiction books, we have 24 fiction books. We can now set up this equation:
Now we cross multiply
We can solve for x by dividing both sides by two, so:
x = 12. There will be 12 nonfiction books.
If we add 6 fiction books, we have 24 fiction books. We can now set up this equation:
Now we cross multiply
We can solve for x by dividing both sides by two, so:
x = 12. There will be 12 nonfiction books.
Answer:
14) The equation of the tangent line to the curve at x = -1 is
15) The rate of learning at the end of eight hours of instruction is
Step-by-step explanation:
14) To find the equation of a tangent line to a curve at an indicated point you must:
1. Find the first derivative of f(x)
2. Plug x value of the indicated point, x = -1, into f '(x) to find the slope at x.
3. Plug x value into f(x) to find the y coordinate of the tangent point
4. Combine the slope from step 2 and point from step 3 using the point-slope formula to find the equation for the tangent line
5. Graph your function and the equation of the tangent line to check the results.
15) To find the rate of learning at the end of eight hours of instruction you must:
1. Find the first derivative of f(x)
2. Evaluate the derivative a t = 8
The rate of learning at the end of eight hours of instruction is
Given:
The figure of a triangle.
To find:
The value of x
Solution:
From the given figure it is clear that is a median of the given triangle. It means
divides
is two equal parts.
[tex]x=4/tex]
The value of x is 4. Therefore, the correct option is D.